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Finding the Fourth Proportional to 4,640.52, 6,403.92 and 2,544.66

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Solution

The fourth proportional to 4,640.52, 6,403.92 and 2,544.66 is: 3,511.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.52 : 6,403.92 = 2,544.66 : x
  2. Step 2: Convert to fraction form
    4,640.52/6,403.92 = 2,544.66/x
  3. Step 3: Cross multiply
    4,640.52x = 6,403.92 × 2,544.66
  4. Step 4: Simplify right side
    4,640.52x = 16,295,799.07
  5. Step 5: Solve for x
    x = 16,295,799.07/4,640.52
  6. Step 6: Final answer
    x = 3,511.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.